{"id":"https://openalex.org/W4400946529","doi":"https://doi.org/10.23919/ecc64448.2024.10591182","title":"Exact Characterization of the Global Optima of Least Squares Realization of Autonomous LTI Models as a Multiparameter Eigenvalue Problem","display_name":"Exact Characterization of the Global Optima of Least Squares Realization of Autonomous LTI Models as a Multiparameter Eigenvalue Problem","publication_year":2024,"publication_date":"2024-06-25","ids":{"openalex":"https://openalex.org/W4400946529","doi":"https://doi.org/10.23919/ecc64448.2024.10591182"},"language":"en","primary_location":{"id":"doi:10.23919/ecc64448.2024.10591182","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/ecc64448.2024.10591182","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/retrieve/7f0b1f22-7aac-46dd-8515-dc1ae6fbde90","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091947227","display_name":"Sibren Lagauw","orcid":"https://orcid.org/0000-0001-8130-1873"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Sibren Lagauw","raw_affiliation_strings":["Center for Dynamical Systems, Signal Processing, and Data Analytics (STADIUS),Department of Electrical Engineering (ESAT), KU Leuven,Leuven,Belgium"],"affiliations":[{"raw_affiliation_string":"Center for Dynamical Systems, Signal Processing, and Data Analytics (STADIUS),Department of Electrical Engineering (ESAT), KU Leuven,Leuven,Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5099072853","display_name":"Lukas Vanpoucke","orcid":"https://orcid.org/0000-0002-0610-1772"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Lukas Vanpoucke","raw_affiliation_strings":["Center for Dynamical Systems, Signal Processing, and Data Analytics (STADIUS),Department of Electrical Engineering (ESAT), KU Leuven,Leuven,Belgium"],"affiliations":[{"raw_affiliation_string":"Center for Dynamical Systems, Signal Processing, and Data Analytics (STADIUS),Department of Electrical Engineering (ESAT), KU Leuven,Leuven,Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018814006","display_name":"Bart De Moor","orcid":"https://orcid.org/0000-0002-1154-5028"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Bart De Moor","raw_affiliation_strings":["Center for Dynamical Systems, Signal Processing, and Data Analytics (STADIUS),Department of Electrical Engineering (ESAT), KU Leuven,Leuven,Belgium"],"affiliations":[{"raw_affiliation_string":"Center for Dynamical Systems, Signal Processing, and Data Analytics (STADIUS),Department of Electrical Engineering (ESAT), KU Leuven,Leuven,Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091947227"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":2.792,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.91918182,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"3446","last_page":"3451"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11325","display_name":"Inertial Sensor and Navigation","score":0.8348000049591064,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11325","display_name":"Inertial Sensor and Navigation","score":0.8348000049591064,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.7656000256538391,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.7444000244140625,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.788252592086792},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6224321722984314},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.568575382232666},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5409219861030579},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49672919511795044},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45933759212493896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45021846890449524},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43437883257865906},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4066983461380005},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14282652735710144},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14061972498893738},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.065911203622818}],"concepts":[{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.788252592086792},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6224321722984314},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.568575382232666},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5409219861030579},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49672919511795044},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45933759212493896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45021846890449524},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43437883257865906},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4066983461380005},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14282652735710144},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14061972498893738},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.065911203622818},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc64448.2024.10591182","is_oa":false,"landing_page_url":"http://dx.doi.org/10.23919/ecc64448.2024.10591182","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/744734","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/744734","pdf_url":"https://lirias.kuleuven.be/retrieve/7f0b1f22-7aac-46dd-8515-dc1ae6fbde90","source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"22nd European Control Conference (ECC), Stockholm, Sweden, 25-28 June 2024","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/744734","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/744734","pdf_url":"https://lirias.kuleuven.be/retrieve/7f0b1f22-7aac-46dd-8515-dc1ae6fbde90","source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"22nd European Control Conference (ECC), Stockholm, Sweden, 25-28 June 2024","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2164745409","display_name":null,"funder_award_id":"VLAIO","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320313460","display_name":"Agentschap Innoveren en Ondernemen","ror":"https://ror.org/032xdry56"},{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320334322","display_name":"HORIZON EUROPE Framework Programme","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4400946529.pdf"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W299377260","https://openalex.org/W627666456","https://openalex.org/W1572079173","https://openalex.org/W1997932092","https://openalex.org/W2090636411","https://openalex.org/W2118682956","https://openalex.org/W2132346118","https://openalex.org/W2135631911","https://openalex.org/W2327081681","https://openalex.org/W2483537127","https://openalex.org/W2806263336","https://openalex.org/W3110348889","https://openalex.org/W3204562766","https://openalex.org/W4240691156","https://openalex.org/W4376607854","https://openalex.org/W4388533602","https://openalex.org/W6639699644"],"related_works":["https://openalex.org/W3107994849","https://openalex.org/W2022544890","https://openalex.org/W2394097730","https://openalex.org/W2475378634","https://openalex.org/W4247143848","https://openalex.org/W4312353617","https://openalex.org/W2009883749","https://openalex.org/W2735573198","https://openalex.org/W2113405914","https://openalex.org/W2260963831"],"abstract_inverted_index":{"We":[0,28,45],"consider":[1],"the":[2,6,30,34,42,48,52,56,76],"problem":[3,36,53,62],"of":[4,11,23,33,41,51,58],"finding":[5],"best":[7],"least":[8],"squares":[9],"realization":[10],"an":[12],"autonomous":[13],"single-output":[14],"linear":[15],"time-":[16],"invariant":[17],"dynamical":[18],"system,":[19],"given":[20],"a":[21,59],"sequence":[22],"non-model-":[24],"compliant":[25],"output":[26],"data.":[27],"characterize":[29],"solution":[31],"set":[32],"identification":[35],"and":[37,63],"derive":[38],"novel":[39],"properties":[40],"optimal":[43,78],"models.":[44],"show":[46],"how":[47],"global":[49],"minima":[50],"follow":[54],"from":[55],"eigentuples":[57],"multiparameter":[60],"eigenvalue":[61],"illustrate":[64],"this":[65],"result":[66],"using":[67],"several":[68],"numerical":[69],"'toy":[70],"examples'":[71],"in":[72],"which":[73],"we":[74],"compute":[75],"globally":[77],"solution(s)":[79],"explicitly.":[80]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
